In this review, we present the ongoing developments in bridging the gap between
holography and experiments. To this end, we discuss information scrambling and models of …

This tutorial article introduces the physics of quantum information scrambling in quantum
many-body systems. The goals are to understand how to precisely quantify the spreading of …

Strongly interacting spins underlie many intriguing phenomena and applications,,–ranging
from magnetism to quantum information processing. Interacting spins combined with motion …

Quantum scrambling describes the spreading of information into many degrees of freedom
in quantum systems, such that the information is no longer accessible locally but becomes …

The most famous quasi-probability distribution, the Wigner function, has played a pivotal role
in the development of a continuous-variable quantum theory that has clear analogues of …

We extend entropy production to a deeply quantum regime involving noncommuting
conserved quantities. Consider a unitary transporting conserved quantities (“charges”) …

Simulation of continuous-time evolution requires time discretization on both classical and
quantum computers. A finer time step improves simulation precision but it inevitably leads to …

Out-of-time-order correlators are widely used as an indicator of quantum chaos but give
false-positive quantum Lyapunov exponents for integrable systems with isolated saddle …

Quantum many-body scarred systems host special nonthermal eigenstates that support
periodic revival dynamics and weakly break the ergodicity. Here, we study the quantum …

The dynamics of quantum systems unfolds within a subspace of the state space or operator
space, known as the Krylov space. This review presents the use of Krylov subspace …